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Finding the Third Proportional to 42,236.44 and 91,823.63

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Solution

The third proportional to 42,236.44 and 91,823.63 is: 199,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,236.44 : 91,823.63 = 91,823.63 : x
  2. Step 2: Convert to fraction form
    42,236.44/91,823.63 = 91,823.63/x
  3. Step 3: Cross multiply
    42,236.44x = 91,823.63 × 91,823.63
  4. Step 4: Simplify right side
    42,236.44x = 8,431,578,108.14
  5. Step 5: Solve for x
    x = 8,431,578,108.14/42,236.44
  6. Step 6: Final answer
    x = 199,628.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.